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34322049 = 3623289
BaseRepresentation
bin1000001011101…
…1011010000001
32101120202000000
42002323122001
532241301144
63223350213
7564506166
oct202733201
971522000
1034322049
1118412733
12b5b2369
137159308
1447b606d
15302e769
hex20bb681

34322049 has 42 divisors (see below), whose sum is σ = 54398610. Its totient is φ = 21640608.

The previous prime is 34322047. The next prime is 34322063. The reversal of 34322049 is 94022343.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 9641025 = 4968^2 + 3105^2 .

It is not a de Polignac number, because 34322049 - 21 = 34322047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34322047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 385597 + ... + 385685.

It is an arithmetic number, because the mean of its divisors is an integer number (1295205).

Almost surely, 234322049 is an apocalyptic number.

It is an amenable number.

34322049 is a deficient number, since it is larger than the sum of its proper divisors (20076561).

34322049 is an frugal number, since it uses more digits than its factorization.

34322049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34322049 is about 5858.5022830072. The cubic root of 34322049 is about 324.9808241151.

The spelling of 34322049 in words is "thirty-four million, three hundred twenty-two thousand, forty-nine".

Divisors: 1 3 9 23 27 69 81 89 207 243 267 529 621 729 801 1587 1863 2047 2403 4761 5589 6141 7209 14283 16767 18423 21627 42849 47081 55269 64881 128547 141243 165807 385641 423729 497421 1271187 1492263 3813561 11440683 34322049